Yeah but it doesn't have the same schwag as base 60

Granted, but it divides by two multiple times. Take a good, round number like 1024 and you can halve it 10 times in a row.

The metric system handles thirds by just using multiples. Like, you buy a 1200 wide benchtop and then you can fit a three 400 drawers under it.

You could technically do the same in hex and the base numbers are all (x^y + x^(y+1)) which represent well.